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  • Differential Equations - NOT AVAILABLE IN 2024-2025
  • Differential Equations - NOT AVAILABLE IN 2024-2025








    (1) General



    School:Of the Environment
    Academic Unit:Department of Marine Sciences
    Level of studies:Undergraduate
    Course Code:191ΜΥ24ΕSemester:F
    Course Title:Differential Equations - NOT AVAILABLE IN 2024-2025
    Independent Teaching ActivitiesWeekly Teaching HoursCredits
    Total credits5
    Course Type:
    Specialised general knowledge
    Prerequisite Courses:
    Prerequisites are the courses Mathematics I and Mathematics II. Attendance and participation in the course is required and unexcused absences may result in failure.
    Language of Instruction and Examinations:
    Greek.
    Is the course offered to Erasmus students:
    Yes. In case of participation of Erasmus students, the course is offered in English.
    Course Website (Url):https://www.mar.aegean.gr/?lang=en&pg=3.1.1&lesson=1070

    (2) Learning Outcomes

    Learning Outcomes


    It is expected that students should learn the material presented in the Syllabus.

    General Competences


    The aim of the course is the introduction to modelling via differential equations.

    (3) Syllabus


    Part A. Ordinary differential equations (second-order linear differential equations, linear differential equations with constant coefficients). Partial differential equations (Fourier series, Laplace equation, the method of separation of variables, linear wave equation, diffusion equation, problems involving approximate solutions with MATHEMATICA).

    Part B. One of the following:

    (1) Dynamical systems (two-dimensional nonlinear dynamical systems, conservative systems, models in population dynamics, competing species, prey-predator models, epidemic models).

    (2) Biological invasions (models described by the Fischer-Kolmogorov equation).

    (3). Applications of PDEs in heat transfer and hydrodynamics.


    (4) Teaching and Learning Methods - Evaluation


    Delivery:

    Face-to-face

    Use of Information and Communication Technology:

    Communication with students via the e-class platform.

    Students are encouraged to use MATHEMATICA.

    Teaching Methods:
    ActivitySemester workload
    Lectures/Turorials40
    Tutorials10
    Independent study30
    Assignment work45
    Course total125
    Student Performance Evaluation:

    One problem solved as homework and final exam or two problems solved as homework. Attendance and participation in the course is required and unexcused absences may result in failure. The overall grading scheme is based on a case-by-case evaluation of each student's growth and progress.




    (5) Attached Bibliography


    - Suggested bibliography:

     

    Class Notes, Differential Equations, 250 pages (in Greek).

    Γ. Παντελίδης, Δ. Κραββαρίτης και Ν. Χατζησάββας, Συνήθεις Διαφορικές Εξισώσεις (Εκδόσεις Ζήτη).

    Σ. Τραχανάς, Μερικές Διαφορικές Εξισώσεις (Πανεπιστημιακές Εκδόσεις Κρήτης).

    E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems (John Wiley Inc., 2005).